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In this paper we study the convergence behavior of grafting rays to the Thurston boundary of Teichmuller space. When the grafting is done along a weighted system of simple closed curves or along a maximal uniquely ergodic lamination this behavio[...]texto impreso
We give a characterization of the Gram matrices of spherical and finite-volume hyperbolic polytopes of a given combinatorial type. This is done in terms of the signs of certain minors of the Gram matrix.texto impreso
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We give an explicit description of some pleating varieties (sets with a fixed set of bending lines in the convex hull boundary) in the quasi-Fuchsian space of the twice punctured torus. In accordance with a conjecture of the second author, we sh[...]texto impreso
The Gram matrix of a spherical or hyperbolic polyhedron uniquely determines it and contains all the information about the dihedral angles. In this note we present formulae for the edge lenghts, heights and planar angles of the polyhedron in term[...]texto impreso
Andreev's Theorem studies the existence of compact hyperbolic polyhedra of a given combinatorial type and given dihedral angles, all of them acute. In this paper we consider the same problem but without any restriction on the dihedral angles. We[...]texto impreso
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Given two measured laminations µ and ? in a hyperbolic sur-face which fill up the surface, Kerckhoff defines an associated line of minima along which convex combinations of the length functions of µ and? are minimised. This is a line in Teichmül[...]texto impreso
La memoria esta motivada por el "teorema de andreev generalizado", es decir, la descripción del espacio de ángulos diédricos de poliedros compactos hiperbólicos de un tipo combinatorio determinado. El teorema de andreev describe este espacio cua[...]texto impreso
We prove that the space of dihedralangles of hyperbolic three-dimensional polyhedra, or of compact hyperbolicpolyhedra, of a given combinatorial type is not convex.texto impreso
In this paper we give necessary and sufficient conditions on three orientation-preserving hyperbolic isometries T1,T2,T3 so that for any point x ? H2 the orthogonal bisectors of the three segments with endpoints x, Ti(x) intersect. This is equiv[...]texto impreso
A c-edge-colored multigraph has each edge colored with one of the c available colors and no two parallel edges have the same color. A proper Hamiltonian cycle is a cycle containing all the vertices of the multigraph such that no two adjacent edg[...]texto impreso
Díaz Sánchez, Raquel ; Garijo, Ignacio ; Hidalgo, Rubén A. ; Gromadzki, G. | Elsevier Science | 2010The geometrically finite complete hyperbolic Riemannian metrics in the interior of a handlebody of genus g, having injectivity radius bounded away from zero, are exactly those produced by Schottky groups of rank g; these are called Schottky stru[...]
